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Finding the Third Proportional to 312,199.50 and 415,051.50

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Solution

The third proportional to 312,199.50 and 415,051.50 is: 551,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,199.50 : 415,051.50 = 415,051.50 : x
  2. Step 2: Convert to fraction form
    312,199.50/415,051.50 = 415,051.50/x
  3. Step 3: Cross multiply
    312,199.50x = 415,051.50 × 415,051.50
  4. Step 4: Simplify right side
    312,199.50x = 172,267,747,652.25
  5. Step 5: Solve for x
    x = 172,267,747,652.25/312,199.50
  6. Step 6: Final answer
    x = 551,787.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.